Amy showed her obscene tattoo to the rest of the Planet Expresscrew in Historic 20th Century Apartments in 3000 after making a remark about the low-definition TVs of the 20th century (1ACV06). We cannot see it clearly due to our primitive technology, but it appears to consist of two red figures, possibly Decapodians.

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Amy's obscene tattoo exists as a prank on the audience by being deliberately blurred, poking fun at the dominant low-definition TVs on which the episode was likely viewed at the time it aired. However, subsequent years saw the rapid rise of plasma and LCD high-definition TVs, removing some of the humor from the joke for anyone watching on a high-definition TV. Though the argument could be made that the necessary viewing methods won't exist for 1,000 years.

Bender: Hey! Get a load of this pathetic 20th-century TV!Fry: What's wrong with it?Bender: Well, aside from causing eye cancer, these things had a lousy low-definition picture.Amy: That's true. On a TV like this, I bet you couldn't even make out my obscene tattoo.[Amy rolls her sleeve up to reveal her obscene tattoo, which appears blurred. Bender whistles and Leela chuckles.]Leela: That's cute!